Atkin-Lehner |
2+ 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710o |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-6.0659528869629E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,463428,-1178539644] |
[a1,a2,a3,a4,a6] |
Generators |
[1667:64204:1] |
Generators of the group modulo torsion |
j |
6213165856218719/342407226562500 |
j-invariant |
L |
3.2091870504901 |
L(r)(E,1)/r! |
Ω |
0.077838349216081 |
Real period |
R |
2.576804270054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001081 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610bb4 |
Quadratic twists by: -11 |